Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and add them. Show your work.
Let's choose the numbers 3.2 x 10^4 and 4.82 x 10^12.
To add these numbers, we need to make sure they have the same exponent. In this case, we can convert 3.2 x 10^4 to scientific notation with an exponent of 12:
3.2 x 10^4 = 3.2 x 10^4 x 10^8 = (3.2 x 10^4) x (10^8) = 3.2 x 10^(4+8) = 3.2 x 10^12
Now we can add the numbers:
3.2 x 10^12 + 4.82 x 10^12 = (3.2 + 4.82) x 10^12 = 8.02 x 10^12
Therefore, the sum of 3.2 x 10^4 and 4.82 x 10^12 is 8.02 x 10^12.
Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and subtract them. Show your work.
Let's choose the numbers 1.95 x 10^6 and 4.82 x 10^12.
To subtract these numbers, we need to make sure they have the same exponent. In this case, we can convert 1.95 x 10^6 to scientific notation with an exponent of 12:
1.95 x 10^6 = 1.95 x 10^6 x 10^6 = (1.95 x 10^6) x (10^6) = 1.95 x 10^(6+6) = 1.95 x 10^12
Now we can subtract the numbers:
4.82 x 10^12 - 1.95 x 10^12 = (4.82 - 1.95) x 10^12 = 2.87 x 10^12
Therefore, the difference of 1.95 x 10^6 and 4.82 x 10^12 is 2.87 x 10^12.
Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and multiply them. Show your work.
Let's choose the numbers 8.03 x 10^-8 and 4.82 x 10^12.
To multiply these numbers, we can multiply the coefficients and add the exponents:
8.03 x 10^-8 * 4.82 x 10^12 = (8.03 * 4.82) x (10^-8 * 10^12) = 38.6966 x 10^(12-8) = 38.6966 x 10^4
To write the answer in scientific notation, we need to move the decimal point in 38.6966 four places to the right, resulting in:
3.86966 x 10^5
Therefore, the product of 8.03 x 10^-8 and 4.82 x 10^12 is 3.86966 x 10^5.
Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and divide them. Show your work.
Let's choose the numbers 2.56 x 10^-2 and 4.82 x 10^12.
To divide these numbers, we can divide the coefficients and subtract the exponents:
(2.56 x 10^-2) / (4.82 x 10^12) = (2.56 / 4.82) x (10^-2 / 10^12) = 0.53112 x 10^(-2-12) = 0.53112 x 10^-14
To write the answer in scientific notation, we need to move the decimal point in 0.53112 fourteen places to the left, resulting in:
5.3112 x 10^-15
Therefore, the division of 2.56 x 10^-2 by 4.82 x 10^12 is 5.3112 x 10^-15.
Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose one of the scientific numbers from the list and add it to 32.8. Show your work.
Let's choose the number 3.2 x 10^4.
To add this number to 32.8, we need to convert 32.8 to scientific notation with the same exponent as 3.2 x 10^4:
32.8 = 3.28 x 10^1
Now we can add the numbers:
3.2 x 10^4 + 3.28 x 10^1 = (3.2 + 3.28) x 10^4 = 6.48 x 10^4
Therefore, the sum of 3.2 x 10^4 and 32.8 is 6.48 x 10^4.
Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work.